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Finding the Fourth Proportional to 280,513.40, 420,519.81 and 122,616.86

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Solution

The fourth proportional to 280,513.40, 420,519.81 and 122,616.86 is: 183,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,513.40 : 420,519.81 = 122,616.86 : x
  2. Step 2: Convert to fraction form
    280,513.40/420,519.81 = 122,616.86/x
  3. Step 3: Cross multiply
    280,513.40x = 420,519.81 × 122,616.86
  4. Step 4: Simplify right side
    280,513.40x = 51,562,818,670.00
  5. Step 5: Solve for x
    x = 51,562,818,670.00/280,513.40
  6. Step 6: Final answer
    x = 183,815.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.